2-body problem definition of 2-body problem in the Free Online Encyclopedia.

two-body problem [′tü ¦bäd·ē ′präb·ləm]

(mechanics)

The problem of predicting the motions of two objects obeying Newton's laws of motion and exerting forces on each other according to some specified law such as Newton's law of gravitation, given their masses and their positions and velocities at some initial time.

Two-Body Problem

(in astronomy), the problem of the motion of two bodies that are mutually attracting in accordance with Newton’s law of gravitation. In the two-body problem attracting bodies are taken to be material points, which is valid if they are spherical in structure or if the distances between them are very great compared to their size. This requirement is largely met for the sun and each of the planets. In solving the two-body problem the motion of one body in relation to the other is usually considered. The motion in this problem occurs in conic sections—a circle, ellipse, parabola, hyperbola, or straight line—in accordance with Kepler’s laws. The two-body law, describing so-called unperturbed motion, is the first approximation in studying the true motion of celestial bodies.

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Two-Body Problem (redirected from 2-body problem)

Two-Body Problem
(redirected from 2-body problem)